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<title>Problem 1938. -- [CROATIAN2010] ALADIN -- 衡阳八中OJ离线版-2012-02-29</title><center><h2>1938: [CROATIAN2010] ALADIN</h2><span class=green>Time Limit: </span>10 Sec&nbsp;&nbsp;<span class=green>Memory Limit: </span>64 MB<br><span class=green>Submit: </span>28&nbsp;&nbsp;<span class=green>Solved: </span>12<br>[<a href='submitpage.php?id=1938'>Submit</a>][<a href='problemstatus.php?id=1938'>Status</a>][<a href='bbs.php?id=1938'>Discuss</a>]</center><h2>Description</h2><div class=content>有一个长度为 N 的序列P 和两种操作，共 Q个： 
1.  给定 L, R, A, B，将第 L 到第 R 个之间的每个元素 Px 变成（（X-L+1）×A）mod B  。  
2.  给定 L, R，询问第 L 到第 R 个元素的和。 
数据规模：N≤10^9  ，Q≤50000  ，  A, B≤106
 </div><h2>Input</h2><div class=content>The first line contains two integers N i Q (1 ≤ N ≤ 1 000 000 000) (1 ≤ Q ≤ 50 
000), number of boxes and number of queries.
The next Q lines contain information about the simulation.
If the line starts with 1, than it follows the format "1 L R A B" (1 ≤ L ≤ R ≤ N) (1 
≤ A, B ≤ 1 000 000), meaning that Aladin keyed in numbers L, R, A and B in the 
device and allowed the device to do its job.
If the line starts with 2, than it follows the format "2 L R" (1 ≤ L ≤ R ≤ N). 
Meaning that Aladin wonders how many stones in total are ther stones are in 
boxes labeled L to R (inclusive).</div><h2>Output</h2><div class=content>For each query beginning with 2 output the answer to that particular query. 
Queries should be processed in the order they are given in the input.</div><h2>Sample Input</h2>
			<div class=content><span class=sampledata>6 3<br />
2 1 6<br />
1 1 5 1 2<br />
2 1 6<br />
</span></div><h2>Sample Output</h2>
			<div class=content><span class=sampledata>0<br />
3</span></div><h2>HINT</h2>
			<div class=content><p>The boxes start containing {0, 0, 0, 0, 0, 0}, 0 stones in total. <br />
After that the device sets the stones to {1 mod 2, 2 mod 2, 3 mod 2, 4 mod 2, <br />
5 mod 2, 0} = {1,0,1,0,1,0}, or 3 stones in total.</p></div><h2>Source</h2>
			<div class=content><p><a href='problemset.html?search=CONTEST #1 24.10.2009.'>CONTEST #1 24.10.2009.</a></p></div><center>[<a href='submitpage.php?id=1938'>Submit</a>][<a href='problemstatus.php?id=1938'>Status</a>][<a href='bbs.php?id=1938'>Discuss</a>]</center>﻿<br>

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